Heat the olive oil in a large pot or Dutch oven over medium heat. Add the onion and bell pepper, and cook for 4–5 minutes, until softened.
Add the ground turkey and spread it across the bottom of the pot. Let it cook undisturbed for 1–2 minutes to encourage browning, then break it into crumbles. Continue cooking until browned and cooked through, about 5 minutes.
Add the garlic and cook for about 30 seconds, until fragrant.
Add the tomato paste, chili powder, cumin, smoked paprika, oregano, salt, and black pepper. Stir well and cook for 1–2 minutes, stirring frequently, until the tomato paste darkens slightly and the spices become fragrant.
Add the fire-roasted tomatoes, tomatoes with green chiles, tomato sauce, kidney beans, and black beans. Stir well and bring to a gentle simmer.
Reduce the heat to low and simmer uncovered for 30–45 minutes, stirring occasionally. The chili should thicken, and the flavors will deepen as it cooks.
Taste and adjust the salt and pepper as needed.
Serve warm with your favorite chili toppings.